Finding the Third Proportional to 49,506 and 116,745

Step by Step Solution

1. Step 1: Write the proportion equation
   49,506 : 116,745 = 116,745 : x
2. Step 2: Convert to fraction form
   49,506/116,745 = 116,745/x
3. Step 3: Cross multiply
   49,506x = 116,745 × 116,745
4. Step 4: Simplify right side
   49,506x = 13,629,395,025
5. Step 5: Solve for x
   x = 13,629,395,025/49,506
6. Step 6: Final answer
   x = 275,307.94